The viscosity 7 of a gas depends on the mass, the effective diameter and the mean speed of the molecules. Use dimensional analysis to find n as a function of these variables. Hence estimate the diameter of the methane (CH.) molecule given that n has values of 2.0 x 10-8 kg m-'s=' for helium and 1.1 x 10-$ kg m-'s-' for methane at room temperature, and that the diameter of the helium atom is 2.1 x 10-10 m. [Relative atomic masses for C and He are 12 and 4 respectively.]
The viscosity 7 of a gas depends on the mass, the effective diameter and the mean speed of the molecules. Use dimensional analysis to find n as a function of these variables. Hence estimate the diameter of the methane (CH.) molecule given that n has values of 2.0 x 10-8 kg m-'s=' for helium and 1.1 x 10-$ kg m-'s-' for methane at room temperature, and that the diameter of the helium atom is 2.1 x 10-10 m. [Relative atomic masses for C and He are 12 and 4 respectively.]
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![The viscosity 7 of a gas depends on the mass, the effective diameter and
the mean speed of the molecules. Use dimensional analysis to find 7 as a
function of these variables. Hence estimate the diameter of the methane
(CH.) molecule given that n has values of 2.0 x 10-S kg m-'s=' for
helium and 1.1 x 10-$ kg m-'s-' for methane at room temperature, and
that the diameter of the helium atom is 2.1 x 10-10 m. [Relative atomic
masses for C and He are 12 and 4 respectively.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7650b581-bbf6-43f4-a46c-ae964a519203%2F91c91b60-7009-400b-8020-25b280302a6e%2Fqsm094l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The viscosity 7 of a gas depends on the mass, the effective diameter and
the mean speed of the molecules. Use dimensional analysis to find 7 as a
function of these variables. Hence estimate the diameter of the methane
(CH.) molecule given that n has values of 2.0 x 10-S kg m-'s=' for
helium and 1.1 x 10-$ kg m-'s-' for methane at room temperature, and
that the diameter of the helium atom is 2.1 x 10-10 m. [Relative atomic
masses for C and He are 12 and 4 respectively.]
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